SOLUTION: If 9^x-(9^x-1) =24, find (6x)^x (9^x-1 is 9 raised to the power of x minus 1)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If 9^x-(9^x-1) =24, find (6x)^x (9^x-1 is 9 raised to the power of x minus 1)       Log On


   

Question 1006718: If 9^x-(9^x-1) =24, find (6x)^x
(9^x-1 is 9 raised to the power of x minus 1)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If 9^x-(9^x-1) =24, find (6x)^x
(9^x-1 is 9 raised to the power of x minus 1)
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Factor the left side::
9^(x-1)*(9-1) = 24
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9^(x-1) = 3
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3^(2x-2) = 3
---
2x-2 = 1
2x = 3
x = 3/2
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Cheers,
Stan H.
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